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PLEASE SIR SOLVE THE PROBLEM BY USING INTEGRATION OR USING SOME STANDARD RESULT AS I CANT UNDERSTAND THE SOLUTION GIVEN BY ALL ONLINE COACHING CENTER SOLUTIONS.PLEASE HELP SIR.HERE IS THE LINK http://www.goiit.com/posts/list/mechanics-solve-it-1015155.htm

PLEASE SIR SOLVE THE PROBLEM BY USING INTEGRATION OR USING SOME STANDARD RESULT AS I CANT UNDERSTAND THE SOLUTION GIVEN BY ALL ONLINE COACHING CENTER SOLUTIONS.PLEASE HELP SIR.HERE IS THE LINK                                                                                                                                                                                                           http://www.goiit.com/posts/list/mechanics-solve-it-1015155.htm                 

Grade:12

1 Answers

Nehal Wani
21 Points
11 years ago

Derivation Of Electric Field Due to One Hemisphere.

σ=Q/2π

4π Solid Angle Corresponds To Q/ε0 Flux.............................From Gauss's Theorem

2π Solid Angle Will Correspond To Q/2εFlux

Q/2ε0=E2π

E=Q/(2ε0R²)

E=σ/2ε0

Force= F= Edq..........................(F applied will be used to counteract this force)

dq=dAσ

F=(σ/2ε0)(dAσ)

P=F/dA=σ²/2ε0

Force Due To One Hemisphere On Other

=PπR².........................(πR² because we are calculating force on the rim of other hemisphere)

=(σ²/2ε0)π

=πR²σ²/2ε0

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